201200301440 has 32 divisors (see below), whose sum is σ = 480994472160. Its totient is φ = 80480120320.

The previous prime is 201200301427. The next prime is 201200301451. The reversal of 201200301440 is 44103002102.

201200301440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×201200301440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157187096 + ... + 157188375.

It is an arithmetic number, because the mean of its divisors is an integer number (15031077255).

Almost surely, 2^201200301440 is an apocalyptic number.

201200301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200301440 is an abundant number, since it is smaller than the sum of its proper divisors (279794170720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201200301440 is an equidigital number, since it uses as much as digits as its factorization.

201200301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314375490 (or 314375478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 201200301440 its reverse (44103002102), we get a palindrome (245303303542).

The spelling of 201200301440 in words is "two hundred one billion, two hundred million, three hundred one thousand, four hundred forty".